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Sur les occurrences des mots dans les nombres premiers

Abstract : In this paper, we generalize Mauduit and Rivat's theorem on the Rudin-Shapiro sequence. Weakening the hypothesis needed in their theorem, we prove a prime number theorem for a large class of functions defined on the digits. Our result covers the case of generalized Rudin-Shapiro sequences as well as bloc-additive sequences on finite and infinite expansions. We also give a partial answer to a question posed by Kalai.
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Contributor : Gautier Hanna Connect in order to contact the contributor
Submitted on : Thursday, March 3, 2016 - 7:28:37 PM
Last modification on : Saturday, October 16, 2021 - 11:18:03 AM
Long-term archiving on: : Saturday, June 4, 2016 - 11:31:26 AM


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  • HAL Id : hal-01282554, version 1



Gautier Hanna. Sur les occurrences des mots dans les nombres premiers. 2015. ⟨hal-01282554⟩



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